19] After increasing the price of an article by 20%. The price was GHC
3000.00. What was the original price?​

Answer:

Ground distance = 10396 feet  (nearest foot)

Step-by-step explanation:

The horizontal distance given the vertical is governed by the tangent of the angle of depression.

V/H = tan(angle of depression)

Hence

H = V / tan(angle of depression)

= 2400 / tan(13)

= 10395.5 feet

Set up two equations and set equal to each other. Let number of years = x:

College A = 14100+750x

College B = 42100-1250x

Set equal:

14100 + 750x = 42100 - 1250x

Subtract 750x from both sides:

14100 = 42100 - 2000x

Subtract 42100 from both sides:

-28000 = -2000x

Divide both sides by -2000:

x = -28000 / -2000

x = 14

It will take 14 years for the schools to have the same enrollment.

Enrollment will be:

14100 + 750(14) = 14100 + 10500 = 24,600

Answer:

(a)2019 (14 years after)

(b)24,600

Step-by-step explanation:

Let the number of years =n

College A

Initial Population in 2005 = 14,100

Increase per year = 750

Therefore, the population after n years = 14,100+750n

College B

Initial Population in 2005 = 42,100

Decline per year = 1250

Therefore, the population after n years = 42,100-1250n

When the enrollments are the same

14,100+750n=42,100-1250n

1250n+750n=42100-14100

2000n=28000

n=14

Therefore, in 2019 (14 years after), the colleges will have the same​ enrollment.

Enrollment in 2019 =42,100-1250(14)

=24,600

Answer:

It is a negative correlation

Step-by-step explanation:

As the x value increases the y value decreases. This causes it to be a negative.

Answer: The answer is 0.1350

Step-by-step explanation:

Given data

n=36

p=1/2

q=1/2

X=18

O=3

U = 18

a. With n = 36 and p = q = 1/2, you may use the normal approximation with µ = 18 and o = 3. X = 18 has real limits of 17.5 and 18.5 corresponding to z = -0.17 and z = +0.17. p = 0.1350.

The probability that a subject would guess exactly 18 correct in a series of 36 trials is 0.1350.

Given that,

ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even.

We have to determine,

What is the probability that a subject would guess exactly 18 correct in a series of 36 trials?

According to the question,

Number of trials n = 36

The probability must per whether a number randomly generated by a computer will be odd is 1/2 or even is 1/2.

By using the normal approximation,

[tex]\mu = 18 \ and \ \sigma = 3[/tex]

Therefore,

X = 18 has real limits of 17.5 and 18.5 corresponding to z = -0.17 and z = +0.17.

p = 0.1350

Hence, the probability that a subject would guess exactly 18 correct in a series of 36 trials is 0.1350.

To know more about Probability click the link given below.

https://brainly.com/question/17090368

Answer:

11

Step-by-step explanation:

To do this you would just multiply 9 by 3 so you get 27 and subtract 6+10 which is 16 from it and then you will get 11 and that is what you will need for your third score

The third score which must be added is 11.

The average can be calculated by dividing the sum of observations by the number of observations.

Average = Sum of observations/the number of observations

Given; count = 3 (there are three trials)

average = 9

9 = sum / 3

The sum = first score + second score + third score

The sum   =  6 + 10 + third score

9 = (6+10+third score)/3

Then multiply both sides by 3 to remove the denominator

27 = 6 + 10 + third score

27 = 16 + third score

Now, subtract 16 from both sides to isolate the third score

11 = third score

Hence, the third score which must be added is 11.

Learn more about average here;

https://brainly.com/question/27851466

#SPJ2

Answer:

9.9225π feet.

Step-by-step explanation:

The area of a circle is pi * r^2.

The diameter is 2r. 2r = 6.3; r = 6.3 / 2 = 3.15.

pi * 3.15^2 = pi * 9.9225

9.9225π feet is your answer.

Hope this helps!

Answer:

Given that

diameter of circle=6.3ft=192.02cm

radius of circle=d/2=192.02/2=96.01cm

So, area of circle=πr2

= π×(96.01)^2

= 9217.92π cm^2

hope it helps u....

plz mark as brainliest...

Answer:

Balance in 5 years =  6489.79  (to the nearest $0.01)

Step-by-step explanation:

Future value

FP = P(1+i)^n

P=initial deposit=5000

i = interest per period=5.25/4

n = number of periods=4*5=20

FP

= P(1+i)^n

= 5000( 1 + 0.0525/4 )^20

= 5000*1.297958012811783

= 6489.79  (to the nearest $0.01)

Answer:

hello some parts of your question is missing attached below is the missing parts of the question

Answer : The proportion of the baseballs in the sampled population that are too lively

P = x / n = 18 / 40 = 0.450

Step-by-step explanation:

coefficient of restitution > 0.625

Based on available data the proportion of the baseballs that is in the sampled population that are too lively can be calculated using the values below

n = 40

x = n ( p > 0.625 ) = 18

The proportion of the baseballs in the sampled population that are too lively

P = x / n = 18 / 40 = 0.450

Answer:

145%

Step-by-step explanation:

Count up the squares

1 + 45/100

1.45

Change to percent by multiplying by 100

145%

Answer:

145

Step-by-step explanation:

The square on the left is one whole or 1 or 100%.

The square on the right has 45 blocks shaded out of 100 or 45/100 or 45%.

100% + 45% = 145%

Answer:

(-4) will be the smallest value.

Step-by-step explanation:

Two functions have been given in this question,

f(x) = [tex]\sqrt{6x}[/tex] and g(x) = x + 4

Then the composite function (fog)(x) will be,

(fog)(x) = f[g(x)]

f[g(x)] = [tex]\sqrt{6(x+4)}[/tex]

Since this function is defined for (x + 4) ≥ 0

(x + 4) - 4 ≥ 0 - 4

x ≥ -4

Domain of this function : [-4 ∞)

Therefore, the smallest number in the domain or smallest value for 'x' should be (-4).

Answer:

25 %

is your answer

follow me plzzz

Step-by-step explanation:

look at the picture and if you still need help let me know or if this doenst help then well im sorry lol

Answer: The population reach 111 million in 2007.

Step-by-step explanation:

In the year 2000, the population of Mexico was about 100 million, and it was growing by 1.53% per year.

At this growth rate, the function [tex]f(x) = 100(1.0153)^x[/tex] gives the population, in millions, x years after 2000.

Put f(x)=111 million.

Then,

[tex]111=100(1.0153)^x\\\\\Rightarrow\ (1.0153)^x=\dfrac{111}{100}=1.11\\\\\Rightarrow (1.0153)^x=1.11[/tex]

Taking log on both the sides , we get

[tex]x\log1.0153=\log1.11\\\\\Rightarrow\ x=\dfrac{\log1.11}{\log1.0153}=\dfrac{0.045323}{0.0066}=6.86712121212\approx7[/tex]

Hence, the population reach 111 million in 2007 (approx).

Answer:

x=0

Step-by-step explanation:

If the slope is undefined, the line is vertical

vertical lines are of the form

x =

Since the point is (0,6)

x=0

Answer:

The correct answer is C. The meal costed $1.30.

Step-by-step explanation:

Since the student bought his sandwich for 80 cents, his milk for 20 cents and his cake for 30 cents, to determine the total amount to pay we must add these values. Thus 80 + 20 + 30 gives a total of 130 cents. In this regard, the American monetary system establishes that 100 cents are equal to one dollar, with which the 130 cents would become 1 dollar with 30 cents, that is, $ 1.30.

Answer:

3

Step-by-step explanation:

1/4 < 3/4

The lines are split into 4 parts

Point A is at 1/4 and Point B is at 3/4

A is less than B

Answer:

if im correct there should be three answers which are 1,2, and 3

Step-by-step explanation:

each line plot of 1, 2, and 3 show that point A is 1/4 and point B is 3/4 meaning point A is less than point B even though in 1, and 2 the line plot for point B is shorter it still shows the same thing 1/4<3/4

Answer:

x = 43

Step-by-step explanation:

125^(3x+7)=25^(5x−11)

Rewriting the bases as powers of 5

125 = 5^3  and 25 = 5^2

5^3 ^ (3x+7) = 5^2^(5x-11)

We know a^b^c = a^ (b*c)

5^(3 * (3x+7)) = 5^(2*(5x-11))

Distribute

5^(9x+21) = 5^(10x-22)

The bases are the same so the exponents are the same

9x+21 = 10x-22

Subtract 9x from each side

9x+21 -9x = 10x-9x-22

21 = x-22

Add 22 to each side

21+22 = x-22+22

43 = x

Answer:

3.22222......  = [tex]\frac{29}{9}[/tex]

Step-by-step explanation:

In this question we have to convert the number given in recurrent decimals into fraction.

Recurrent decimal number is 3.22222.......

Let x = 3.2222.........   -------(1)

Multiply this expression by 10.

10x = 32.2222........... -------(2)

Now subtract the expression (1) from (2),

10x = 32.22222.....

   x = 3.22222.......

9x = 29

x = [tex]\frac{29}{9}[/tex]

Therefore, recurrent decimal number can be written as [tex]\frac{29}{9}[/tex] which is in the form of [tex]\frac{p}{q}[/tex].

Step-by-step explanation:

Since you are given the values there is no need to try another method then replacing x by the values

㏑(2)= 0.69

㏑(1.35) = 0.3

so the right answer is D

Answer:

3/8x - 9 4/5

Step-by-step explanation:

Well we need to simplify the following expression,

[tex]\frac{3}{4} (\frac{1}{2}x - 12) + \frac{4}{5}[/tex]

So we need to distribute 3/4 to (1/2x - 12)

3/8x - 9 + 4/5

3/8x - 9 4/5

Thus,

the answer is 3/8x - 9 4/5.

Hope this helps :)

Answer:

x=90 degrees and y=41 degrees.

Step-by-step explanation:

In the diagram

[tex]AB=AC\\$Therefore \triangle ABC$ is an isosceles triangle[/tex]

[tex]m\angle C=49^\circ[/tex]

Since ABC is Isosceles

[tex]m\angle B=m\angle C=49^\circ $ (Base angles of an Isosceles Triangle)[/tex]

[tex]m\angle A+m\angle B+m\angle C=180^\circ $ (Sum of angles in a Triangle)\\m\angle A+49^\circ+49^\circ=180^\circ\\m\angle A=180^\circ-(49^\circ+49^\circ)\\m\angle A=82^\circ[/tex]

[tex]m\angle x=90^\circ $(perpendicular bisector of the base of an isosceles triangle)[/tex]

[tex]m\angle y=m\angle A \div 2 $ (perpendicular bisector of the angle at A)\\m\angle y=82 \div 2\\m\angle y=41^\circ[/tex]

Therefore:

x=90 degrees and y=41 degrees.

Hey there! I'm happy to help!

First of all, if one bill weighs on gram, a million would weigh one million grams. Let's divide this by 1,000 to see how many kilograms it is.

1,000,000/1,000=1,000

Now, we need to convert 1,000 kilograms into pounds. We see that 1 kilogram is equal to about 2.205 pounds, so we multiply 1,000 kilograms by 2.205 to get our pounds.

1,000*2.205=2205

Therefore, one million dollar bills weigh about 2205 pounds.

Have a wonderful day! :D

Answer:

E[x] is larger

Step-by-step explanation:

I think E[x] is larger because the expected number of students on the bus of a randomly chosen student is larger.

This is because the higher the number of students present in a bus, the higher the probability that a randomly selected student would have been on that bus.

Whereas, for every driver to be chosen, the probability of any bus being chosen is 1/4 irrespective of the number of students in that particular bus

Answer:

The numbers are 27 and 30

Step-by-step explanation:

The two numbers are x and y

x+y = 57

x-y = 3

Add the two equations together to eliminate y

x+y = 57

x-y = 3

---------------

2x = 60

Divide by 2

2x/2 = 60/2

x = 30

x+y = 57

30 + y = 57

y = 57-30

y = 27

The numbers are 27 and 30

The sum of two numbers is 57, and the difference is 3.

Give each number a variable (as you do not know what they are): x , y

Set the equations:

"The sum of two numbers is 57": x + y = 57

"The(re) difference is 3": x - y = 3

Isolate one of the variables in the second equation. Add y to both sides:

x - y (+y) = 3 + y

x = 3 + y

Plug in "3 + y" for x in the first equation:

3 + y + y = 57

Simplify. First, combine like terms:

3 + (y + y) = 57

3 + 2y = 57

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS*.

*PEMDAS is the order of operation.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 3 from both sides:

2y + 3 = 57

2y + 3 (-3) = 57 (-3)

2y = 57 - 3

2y = 54

Next, divide 2 from both sides:

(2y)/2 = (54)/2

y = 54/2

y = 27

Plug in 27 for y in one of the equations:

x = 3 + y

x = 3 + (27)

x = 3 + 27

x = 30

x = 30 , y = 27 is your answer.

~

Check:

"The sum of two numbers is 57": x + y = 57

30 + 27 = 57

57 = 57 (True)

"The(re) difference is 3": x - y = 3

30 - 27 = 3

3 = 3 (True)

Answer: What is the question to this?

Step-by-step explanation: thank you have a good day yup yup

Answer:

The value of  annuity is  [tex]P_v = \$ 7929.9[/tex]

Step-by-step explanation:

From the question we are told that

    The periodic payment is  [tex]P = \$ 250[/tex]

     The  interest rate  is   [tex]r = 5\% = 0.05[/tex]

     Frequency at which it occurs in a year is  n = 4 (quarterly )

      The number of years is  [tex]t = 10 \ years[/tex]

The  value of the annuity is mathematically represented as

             [tex]P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ][/tex] (reference EDUCBA website)

 substituting values

             [tex]P_v = 250 * [1 - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ][/tex]

             [tex]P_v = 250 * [1 - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ][/tex]

             [tex]P_v = 250 * [0.3916 ] * [\frac{(1.0125)}{0.0125} ][/tex]

            [tex]P_v = \$ 7929.9[/tex]

Answer:

H0:p1=p2; Ha:p1≠p2, which is a two-tailed test.

Step-by-step explanation:

We formulate our hypotheses as

H0:p1=p2; Ha:p1≠p2, which is a two-tailed test.

Supposing the probability or proportion of the first survey is equal to the probability or proportion of the second survey. This will be the null hypothesis and the alternative hypotheses would be that these two proportions or probabilities are unequal.

This is a two tailed test.

Answer:

C. This is true. If there is more than one entry equal to​ 0, all powers of P will contain 0 entries.​ Hence, there is no power k for which Upper P Superscript k contains all positive entries. That​ is, P will not satisfy the definition of a regular matrix if it has more than one 0

Step-by-step explanation:

The correct option is C as it represents that by considering a matrix P that involves more than one zero and at the same time the powers for all P has received minimum one zero or it included at least one zero

Therefore the statement C verified and hence it is to be considered to be valid

Hence, all the other statements are incorrect

Answer:

D

Step-by-step explanation:

this is the only one inside the overlapping inequalitlies

Answer:

The answer to your question is   Center = (2, 9) Radius = 5 units

Step-by-step explanation:

Data

         (x - 2)² + (y - 9)² = 25

Process

1.- Determine the coordinates of the circle.

The coordinates are the numbers after the x and y just change the signs.

    h = 2   and k = 9

Then the coordinates are (2, 9)

2.- The length of the radius is the square root of the number after the equal sign.

          radius = [tex]\sqrt{25}[/tex]

         radius = 5 units